超声流和激波

作者简介

《超声流和激波》初版于1948年，这是1999年的第5次修订印刷版。一部著作历经半个多世纪仍然再版，毫无疑问这是一本经典图书。书中讨论了可压缩流体动力学的基本问题，建立了与气体动力学有关的非线性波传播理论。《超声流和激波》自出版以来一直是流体动力学方面的一部重要参考书，其中所涉及的问题至今仍是热门的研究课题。

书籍目录

Ⅰ. Compressible Fluids  1. Qualitative differences between linear and nonlinear waves　A. General Equations of Flow.  Thermodynamic Notions　　2. The medium　　3. Ideal gases, polytropic gases, and media with separable energy　　4. Mathematical comments on ideal gases　　5. Solids which do not satisfy Hooke's law　　6. Discrete media　　7. Differential equations of motion　　8. Conservation of energy　　9. Enthalpy　  10. Isentropic flow.  Steady flow.  Subsonic and supersonic flow　  11. Acoustic approximation　  12. Vector form of the flow equations　  13. Conservation of circulation.  Irrotational flow.  Poten-tial  　14. Bernoulli's law  　  15. Limit speed and critical speed　B. Differential Equations for Specific Types of Flow  　16. Steady flows　  17. Non-steady flows  　18. Lagrange's equations of motion for one-dimensional and spherical flow  Appendix--Wave Motion in Shallow Water　  19. Shallow water theoryⅡ. Mathematical Theory of Hyperbolic Flow Equations for Functions of Two Variables  20. Flow equations involving two functions of two variables..  21. Differential equations of second order type  22. Characteristic curves and characteristic equations  23. Characteristic equations for specific problems  24. The initial value problem.  Domain of dependence.Range of influence  25. Propagation of discontinuities along characteristic lines..  26. Characteristic lines as separation lines between regions of different types  27. Characteristic initial values  28. Supplementary remarks about boundary data  29. Simple waves.  Flow adjacent to a region of constant state  30. The hodograph transformation and its singularities.Limiting lines  31. Systems of more than two differential equations　Appendix  　32. General remarks about differential equations for func-tions of more than two independent variables.Char-acteristic surfacesⅢ. One-Dimensional Flow  33. Problems of one-dimensional flow  A. Continuous Flow  　34. Characteristics　  35. Domain of dependence.  Range of influence　  36. More general initial data　  37. Riemann invariants　  38. Integration of the differential equations of isentropic flow　  39. Remarks on the Lagrangian representation  B. Rarefaction and Compression Waves  　40. Simple waves　  41. Distortion of the wave form in a simple wave　  42. Particle paths and cross-characteristics in a simple wave　  43. Rarefaction  waves　  44. Escape speed.  Complete and incomplete rarefaction waves  　45. Centered rarefaction waves　  46. Explicit formulas for centered rarefaction waves　  47. Remark on simple waves in Lagrangian coordinates　  48. Compression waves  Appendix to Part B  　49. Position of the envelope and its cusp in a compression wave  C. Shacks　  50. The shock as an irreversible process  　51. Historical remarks on non-linear flow　  52. Discontinuity surfaces　  53. Basic model of discontinuous motion.  Shock wave in a tube　……Ⅳ.Isentropic Irrotational Steady Plane FlowⅤ.Folw in Noxxies and JetsⅥ.Folw in Three DimensionsBibligraphyIndex of SybmolsSubjuct Index

内容概要

作者：(美国)库朗 (德国)弗里德里斯

图书封面

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